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Finding the Fourth Proportional to 5,040.50, 7,560.75 and 1,962.50

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Solution

The fourth proportional to 5,040.50, 7,560.75 and 1,962.50 is: 2,943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040.50 : 7,560.75 = 1,962.50 : x
  2. Step 2: Convert to fraction form
    5,040.50/7,560.75 = 1,962.50/x
  3. Step 3: Cross multiply
    5,040.50x = 7,560.75 × 1,962.50
  4. Step 4: Simplify right side
    5,040.50x = 14,837,971.88
  5. Step 5: Solve for x
    x = 14,837,971.88/5,040.50
  6. Step 6: Final answer
    x = 2,943.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.